Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: How to integrate a function within a square root

  1. Aug 30, 2010 #1
    1. The problem statement, all variables and given/known data
    Find the length of x=y^3/30+5/(2y) on 3 <= y <= 5


    2. Relevant equations

    L = integral sqrt(1+(dx/dy)^2)dx

    3. The attempt at a solution

    I got to the integral upper bound = 5, lower bound = 3, sqrt(y^4/100+25/(4y^4)+1/2)dy. How do I actually solve the integral? It would be find if there wasn't a square root.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 30, 2010 #2

    Mentallic

    User Avatar
    Homework Helper

    Factor out [tex]\frac{1}{100y^4}[/tex] inside the root and see if you can go from there.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook